具两种病毒SIR模型的全局稳定性

Qualitative Analysis of a Two-strain SIR Epidemic Model

讨论了一类具两种病毒并且可以相互感染的SIR流行病模型,研究了系统的基本再生数和平衡点的存在条件,通过构造Liyapunov函数证明了无病平衡点和边界平衡点的全局稳定性.

In this paper , a two-strain SIR epidemic model are investigated.At first , the basic reproductive number and equilibrium conditions of existence are gived.The global stability of the diseasefree equilibrium and the boundary equilibrium are given by means of an appropriately chosen Liapunov functions.